Atkin-Lehner |
2+ 3+ 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
55650l |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-15776775000000 = -1 · 26 · 35 · 58 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,4375,157125] |
[a1,a2,a3,a4,a6] |
j |
592492345199/1009713600 |
j-invariant |
L |
1.9107273311555 |
L(r)(E,1)/r! |
Ω |
0.47768183248543 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130bd1 |
Quadratic twists by: 5 |